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Q: f= x? + क) | + ला (i) of =? (üi, af मु] liv) of

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Q: Given f(x, y) = 5a° – 3x?y° – 5y², find fr(x, y) = fy(x, y) = faæ (x, y) = | fzy(x, y) =

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Q: When z = f(x,y), which of the following is true for the whole statement? %3D

A: We have given function z=f(x,y). We need to check which of the conditions are true for the given…

Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

Q: (トタりナーそJ0 on メou sqo とてラメテ0 'hらトラメe 1(h8)3-9 4 トtト×ピーメピ(トタ)さーそ ト×-メと -(ドメ)きーモ

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Q: Find the value af Z そf え e = 1+3 i

A: for log of complex number we know that, x + iy = log(a+ib) then, x + iy = log|r| + i(theta) where,…

Q: f(y) = ee&")

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Q: EX8-H.W)lt Xy Xq G CLIB) and +92=X++X Show that gz indや? X十メ2

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Q: Let X; = tB¡ B,ds. | Is (X,)r20 a F - martingale?

A: Consider the given process:        Xt=tBt-∫0tBsds

Q: the salution of the înifial gruen em. hy+ yestx- xye"=0 solue it by explaining pleose you

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Q: Use the trapezoidal rule to find AT using the indicated value of n. 8 dx; n = 8 2x2 +2

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Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

Q: If f(x,y)=xe/2,+37x?y3, then dx²əy³ at (1,1) is equal to

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Q: d?F – AF = 0, dx? slove avec F(0) = 0, F(1) = 0 et aeR.

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Q: The pt. (x,y) is at a distance 5 from (0,-3)

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Q: 2 x³ In(x?)dx

A: C. Trapezoidal rule with N = 10

Q: If f(x, y) = (18x ), then Te is given by: 9. -

A: It is partial derivative with respect to y differentiate with respect to y using chain rule and…

Q: Describe verbally how to solve y=mx+c? What assumptions have you made about the valuje of x

A: To describe verbally how to solve y=mx+c.

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: we know that lnmn=lnm+lnn similarly, ddxlncx=ddxlnc+lnx=ddxlnc+ddxlnx…

Q: re? 1 f (x) dx (f(x) – 3) dæ. Given that 9 and + dx = 5, find -

A: Solve the following

Q: %3D AB is a midsegment of AXYZ. If AB = 13, what is the measure of XY? A 13 B

A: Given information: AB is the midsegment of a triangle XYZ. length of AB is 13 units.

Q: hup lict funcrion F(xig) = x?y -eto =0 P(e, 1) Find y" (e) = ?

A: Here to use implicit diffrentiation method for solving the problem

Q: F.ds, W by the pl

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Q: b) y = – cot (x) + 2

A: The flip of a function is defined when the graph of the function is reflected about the x-axis. The…

Q: Plot z = sin(r)/r with r = Væ2 + y?, -8 < x < 8, -8 < y < 8.

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Q: Find partial derivative.

A: We use product rule to find the partial differentiation.

Q: Seleccione una: Oa. Cx у Ob. x?y-tanx +y?- c c-x? y= 2+ xe" Od. y=1+ Cr?+ 1)¬1/2

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Q: Given f(x, y) = – læ – 3x?y? – 6y³, find fz(x, y) = fy(x, y) = fzz(x, y) = fry(x, y) = |

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Q: 80. If x? – y? = 1, find d²y/dx² at the point (2, V3).

A: Given: x2-y2=1 at 2,3

Q: Given f(x, y) = 2x* – 4xy – 2y?, find frr(x, y) = fzy(z, y) =

A: Solving the problem by finding the partial derivative.

Q: In the diagram, AB and BC are both tangent to O P. Determine the value of x. 2x + 7 31 12 19 26 31…

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Q: Do you think the S f(x)dx is positive, negative, or zero? Explain.

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Q: .3 The result of dx is F(b) – F(a), where F(a) and F(b) are real numbers. What is the value of F…

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Q: Given f(x, y) = 9xy® – 6x*y. Compute: a?f ду? ||

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Q: Hw I show that' O div (fog) =Pa'g + oP.ug e cur (f) = 0 where

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Q: Je b. Find of f(x,y) = ye*"? ax' ay %3D

A: Use logarithmic differentiation to solve it.

Q: ind the are length x =3y'

A: Arc length = 8(82√82 - 1) /243

Q: fro assoc е топоwing probat df = 8, P(t 2 2.306) give degr с. df%3D21, Р(—1.323 <1< 3.1

A: We are authorised to answer three subparts at a time since you have not mentioned which part you are…

Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

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Q: 25. f(y) = y?, g(y) = y + 2 %3D

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Q: c = , d.f. = __te =_ E = , interval: to

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Q: e values of x fo g trapezoidal off to one

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Q: BD = 10, GF = y, AC = 4, AF = X %3D %3D y D

A: From the given figure BD=GE And Chord of equal length are equidistant from centre  Therefore, AF =…

Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: Given f(x, y) = ex° fæy = fyx. ,8 x°yt, show that ,8,

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Q: Q3) If f(x, y?) = x² + y2 + Vxy find : af(x²,y) and f(x?,y) ду

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Q: r(1,1) Evaluate Jo0) (3x“ + 4xy + ix )dz along y =x

A: The solution is given by using the parametric equation of the curve

Q: m FGH F リ to H. m FGH = %3D

A: Given  Circle having center somewhere at Fh. To find the ∠FGH

Q: If Jf(x)dx = cotx? +C, then f(x) is equal to

A: ∫f(x)dx=cot x2+C

Q: Ex Find the Salution of the sliff. equ. + 2x° cosx, given that yf z dx

A: Here we have to solve differential equation